Search a number
-
+
100155000 = 2335411607
BaseRepresentation
bin1011111100000…
…11111001111000
320222110101211110
411332003321320
5201114430000
613534400320
72324206041
oct576037170
9228411743
10100155000
1151597a30
12296600a0
131799921a
14d4318c8
158bd5850
hex5f83e78

100155000 has 160 divisors (see below), whose sum is σ = 341890560. Its totient is φ = 24240000.

The previous prime is 100154987. The next prime is 100155031. The reversal of 100155000 is 551001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164697 + ... + 165303.

It is an arithmetic number, because the mean of its divisors is an integer number (2136816).

Almost surely, 2100155000 is an apocalyptic number.

100155000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170945280).

100155000 is an abundant number, since it is smaller than the sum of its proper divisors (241735560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100155000 is a wasteful number, since it uses less digits than its factorization.

100155000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 100155000 is about 10007.7469992002. The cubic root of 100155000 is about 464.3985749863.

The spelling of 100155000 in words is "one hundred million, one hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 607 625 660 750 825 1000 1100 1214 1250 1320 1375 1500 1650 1821 1875 2200 2428 2500 2750 3000 3035 3300 3642 3750 4125 4856 5000 5500 6070 6600 6677 6875 7284 7500 8250 9105 11000 12140 13354 13750 14568 15000 15175 16500 18210 20031 20625 24280 26708 27500 30350 33000 33385 36420 40062 41250 45525 53416 55000 60700 66770 72840 75875 80124 82500 91050 100155 121400 133540 151750 160248 165000 166925 182100 200310 227625 267080 303500 333850 364200 379375 400620 455250 500775 607000 667700 758750 801240 834625 910500 1001550 1138125 1335400 1517500 1669250 1821000 2003100 2276250 2503875 3035000 3338500 4006200 4173125 4552500 5007750 6677000 8346250 9105000 10015500 12519375 16692500 20031000 25038750 33385000 50077500 100155000